The expression \(\sqrt{3} \times \sqrt{30}\) can be simplified by multiplying the radicands (the numbers inside the square roots):

\[
\sqrt{3} \times \sqrt{30} = \sqrt{3 \times 30}
\]

Now, multiply 3 by 30:

\[
\sqrt{3 \times 30} = \sqrt{90}
\]

The simplified form of \(\sqrt{90}\) can be broken down further if possible:

\[
\sqrt{90} = \sqrt{9 \times 10} = \sqrt{9} \times \sqrt{10} = 3\sqrt{10}
\]

So, \(\sqrt{3} \times \sqrt{30} = 3\sqrt{10}\).

Would you like more details or have any questions? 

Here are some related questions:

1. How do you simplify expressions involving square roots?
2. What is the difference between a perfect square and a non-perfect square?
3. How do you multiply and simplify square roots of non-perfect squares?
4. Can you explain the process of rationalizing the denominator?
5. How would you add or subtract square root expressions?

**Tip:** When multiplying square roots, always multiply the numbers inside the roots first and then simplify if possible.

Explore how to simplify sqrt3 x sqrt30 with a step-by-step explanation. Learn the multiplication of square roots technique and understand how to simplify radicals. Suitable for students in Grades 7-9 studying square roots and basic algebraic expressions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation